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Least Common Multiple (LCM) of 198 and 114

The least common multiple (LCM) of 198 and 114 is 3762.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 198 and 114?

First, calculate the GCD of 198 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 114 = 1 remainder 84
2 114 ÷ 84 = 1 remainder 30
3 84 ÷ 30 = 2 remainder 24
4 30 ÷ 24 = 1 remainder 6
5 24 ÷ 6 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 508950
194 and 15129294
136 and 20680
37 and 652405
72 and 932232

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